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A Fine Algebra Problem

I do not know which method to use to solve these types of questions

If the equation \(ax^2 -bx +c\) has distinct roots in the interval (0,1) where \(a,b,c\) are natural numbers, then find the wrong statement:

\[\text{1) The minimum value of a must be 4

2) The minimum value of a must be 5

3) The minimum value of b must be 5

4) The minimum value of abc must be 25\}\]

Any ideas guys?

Note by Nikhil Jaiswal
1 year, 11 months ago

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